Prime p₀= 2499198271842412961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Penguin
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2499196982999916839	0 2 12 14 90 92 168 170 180 182	-1288842496122
TPT(14)	2499197079155230379	0 2 90 92 162 164 210 212 228 230 252 254 258 260	-1192687182582
STPT(10)	2499197193929896091	0 2 30 32 78 80 126 128 156 158	-1077912516870
SPT(16)	2499197316386028187	0 52 76 96 102 142 156 166 186 196 210 250 256 276 300 352	-955456384774
STPT(10)	2499197689353438107	0 2 60 62 72 74 84 86 144 146	-582488974854
TPT(14)	2499197931987493109	0 2 48 50 240 242 282 284 300 302 468 470 510 512	-339854919852
SPT(16)	2499199375380845339	0 90 132 158 164 180 182 264 278 360 362 378 384 410 452 542	1103538432378
TPT(14)	2499199716858527801	0 2 18 20 138 140 156 158 180 182 228 230 240 242	1445016114840
STPT(10)	2499200000790833687	0 2 12 14 42 44 72 74 84 86	1728948420726
SPT(16)	2499200392921796567	0 6 24 26 84 210 236 264 302 330 356 482 540 542 560 566	2121079383606
SPT(16)	2499200550120895541	0 26 50 62 72 96 176 182 336 342 422 446 456 468 492 518	2278278482580